Does Matlab hierarchal clustering work at all using centroid linkage for various distances?

If I am doing hierarchical clustering, if I am using centroid linkage with a distance function other than Euclidean, say, for example, minkowski distance with an exponent of 3 as opposed to 2, will that necessarily not work? What would matlab do if it was given centroid linkage and a Minkowski distance with an exponent fo 3 so that it was not simply Euclidean distance?